JEE Advanced Syllabus

Concept of atoms and molecules

Concentration in terms of mole fraction, molarity, molality and normality

Dalton’s atomic theory

Calculations (based on mole concept) involving common oxidation-reduction, neutralisation, and displacement reactions

Mole concept

Balanced chemical equations

Chemical formulae

Absolute scale of temperature, ideal gas equation

Diffusion of gases

Deviation from ideality, van der Waals equation

Law of partial pressures

Kinetic theory of gases, average, root mean square and most probable velocities and their relation with temperature

Bohr model, spectrum of hydrogen atom, quantum numbers

VSEPR model and shapes of molecules (linear, angular, triangular, square planar, pyramidal, square pyramidal, trigonal bipyramidal, tetrahedral and octahedral)

Wave-particle duality, de Broglie hypothesis

Polarity in molecules, dipole moment (qualitative aspects only)

Uncertainty principle

Hydrogen bond

Qualitative quantum mechanical picture of hydrogen atom, shapes of s, p and d orbitals

Orbital energy diagrams for homonuclear diatomic species

Electronic configurations of elements (up to atomic number 36)

Hybridisation involving s, p and d orbitals only

Pauli’s exclusion principle and Hund’s rule; Orbital overlap and covalent bond

Aufbau principle

First law of thermodynamics

Second law of thermodynamics

Internal energy, work and heat, pressure-volume work

Criterion of spontaneity

Enthalpy, Hess’s law

Entropy

Free energy

Heat of reaction, fusion and vaporisation

Law of mass action

Significance of ΔG and ΔG0 in chemical equilibrium

Equilibrium constant, Le Chatelier’s principle (effect of concentration, temperature and pressure)

Acids and bases (Bronsted and Lewis concepts)

Solubility product, common ion effect, pH and buffer solutions

Hydrolysis of salts

Electrochemical cells and cell reactions

Nernst equation and its relation to ΔG

Standard electrode potentials

Faraday’s laws of electrolysis

Electrochemical series, emf of galvanic cells

Electrolytic conductance, specific, equivalent and molar conductivity, Kohlrausch’s law

Concentration cells

Rates of chemical reactions

Order of reactions

First order reactions

Rate constant

Temperature dependence of rate constant (Arrhenius equation)

Classification of solids, crystalline state, seven crystal systems (cell parameters a, b, c, α, β, γ), close packed structure of solids (cubic), packing in fcc, bcc and hcp lattices

Nearest neighbours, ionic radii, simple ionic compounds, point defects

Raoult’s law

Molecular weight determination from lowering of vapour pressure, elevation of boiling point and depression of freezing point

Elementary concepts of adsorption (excluding adsorption isotherms)

Elementary ideas of emulsions, surfactants and micelles (only definitions and examples)

Colloids: types, methods of preparation and general properties

Radioactivity: isotopes and isobars; Properties of α, β and γ rays

Brief discussion on fission and fusion reactions

Kinetics of radioactive decay (decay series excluded), carbon dating

Stability of nuclei with respect to proton neutron ratio

Boron, silicon, nitrogen, phosphorus, oxygen, sulphur and halogens

Properties of allotropes of carbon (only diamond and graphite), phosphorus and sulphur

Oxides, peroxides, hydroxides, carbonates, bicarbonates, chlorides and sulphates of sodium, potassium, magnesium and calcium

Aluminium: alumina, aluminium chloride and alums

Silicon: silicones, silicates and silicon carbide

Halogens: hydrohalic acids, oxides and oxyacids of chlorine, bleaching powder

Nitrogen: oxides, oxyacids and ammonia

Boron: diborane, boric acid and borax

Phosphorus: oxides, oxyacids (phosphorus acid, phosphoric acid) and phosphine

Oxygen: ozone and hydrogen peroxide

Carbon: oxides and oxyacid (carbonic acid)

Sulphur: hydrogen sulphide, oxides, sulphurous acid, sulphuric acid and sodium thiosulphate

Xenon fluorides

Definition, general characteristics, oxidation states and their stabilities, colour (excluding the details of electronic transitions) and calculation of spin-only magnetic moment

Coordination compounds: nomenclature of mononuclear coordination compounds, cistrans and ionisation isomerisms, hybridization and geometries of mononuclear coordination compounds (linear, tetrahedral, square planar and octahedral)

Oxides and chlorides of tin and lead

Oxides, chlorides and sulphates of Fe2+, Cu2+ and Zn2+, potassium dichromate,

Potassium permanganate, silver oxide, silver thiosulphate, silver nitrate

Chemical principles and reactions only (industrial details excluded)

Self reduction method (copper and lead)

Carbon reduction method (iron and tin)

Cyanide process (silver and gold)

Electrolytic reduction method (magnesium and aluminium)

Groups I to V (only Ag+ , Hg2+, Cu2+, Pb2+, Zn2+, Fe3+, Cr3+, Al3+, Bi3+, Ca2+, Ba2+, Mn2+ and Mg2+)

Nitrate, halides (excluding fluoride), sulphate and sulphide

Hybridisation of carbon; σ and π-bonds

Structural and geometrical isomerism

Optical isomerism of compounds containing up to two asymmetric centres, (R,S and E,Z nomenclature excluded)

Shapes of simple organic molecules

Keto-enol tautomerism

IUPAC nomenclature of simple organic compounds (only hydrocarbons, mono-functional and bi-functional compounds)

Determination of empirical and molecular formulae of simple compounds (only combustion method)

Conformations of ethane and butane (Newman projections); Resonance and hyperconjugation

Hydrogen bonds: definition and their effects on physical properties of alcohols and carboxylic acids

Inductive and resonance effects on acidity and basicity of organic acids and bases

Polarity and inductive effects in alkyl halides

Reactive intermediates produced during homolytic and heterolytic bond cleavage

Formation, structure and stability of carbocations, carbanions and free radicals

Homologous series, physical properties of alkanes (melting points, boiling points and density)

Preparation of alkanes by Wurtz reaction and decarboxylation reactions

Combustion and halogenation of alkanes

Physical properties of alkenes and alkynes (boiling points, density and dipole moments)

Reactions of alkenes with KMnO4 and ozone

Acidity of alkynes; Acid catalysed hydration of alkenes and alkynes (excluding the stereochemistry of addition and elimination);

Electrophilic addition reactions of alkenes with X2, HX, HOX and H2O (X=halogen)

Reduction of alkenes and alkynes

Preparation of alkenes and alkynes by elimination reactions

Addition reactions of alkynes

Metal acetylides

Structure and aromaticity

Effect of o-, m- and p-directing groups in monosubstituted benzenes

Electrophilic substitution reactions: halogenation, nitration, sulphonation, Friedel-Crafts alkylation and acylation

Acidity, electrophilic substitution reactions (halogenation, nitration and sulphonation)

Reimer-Tieman reaction, Kolbe reaction

Alkyl halides: rearrangement reactions of alkyl carbocation, Grignard reactions, nucleophilic substitution reactions

Alcohols: esterification, dehydration and oxidation, reaction with sodium, phosphorus halides, ZnCl2/concentrated HCl, conversion of alcohols into aldehydes and ketones

Ethers: Preparation by Williamson’s Synthesis; Aldehydes and Ketones: oxidation, reduction, oxime and hydrazone formation

Aldol condensation, Perkin reaction

Cannizzaro reaction

Haloform reaction and nucleophilic addition reactions (Grignard addition)

Carboxylic acids: formation of esters, acid chlorides and amides, ester hydrolysis

Amines: basicity of substituted anilines and aliphatic amines, preparation from nitro compounds, reaction with nitrous acid, azo coupling reaction of diazonium salts of aromatic amines, Sandmeyer and related reactions of diazonium salts

Carbylamine reaction

Haloarenes: nucleophilic aromatic substitution in haloarenes and substituted haloarenes (excluding Benzyne mechanism and Cine substitution)

Classification; mono- and di-saccharides (glucose and sucrose)

Oxidation, reduction, glycoside formation and hydrolysis of sucrose

Detection of elements (N, S, halogens)

Hydroxyl (alcoholic and phenolic), carbonyl (aldehyde and ketone), carboxyl, amino and nitro

Detection and identification of the following functional groups

Chemical methods of separation of mono-functional organic compounds from binary mixtures

• Algebra of complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, cube roots of unity, geometric interpretations
• Arithmetic, geometric and harmonic progressions, arithmetic, sums of finite arithmetic and geometric progressions, infinite geometric series, geometric and harmonic means, sums of squares and cubes of the first n natural numbers
• Quadratic equations with real coefficients, relations between roots and coefficients, formation of quadratic equations with given roots, symmetric functions of roots
• Logarithms and their properties. Permutations and combinations, binomial theorem for a positive integral index, properties of binomial coefficients

• Matrices as a rectangular array of real numbers
• Addition, multiplication by a scalar and product of matrices, equality of matrices, transpose of a matrix, inverse of a square matrix of order up to three, properties of these matrix operations, diagonal, symmetric and skew-symmetric matrices and their properties, determinant of a square matrix of order up to three, solutions of simultaneous linear equations in two or three variables

• Addition and multiplication rules of probability, conditional probability
• Bayes Theorem
• Independence of events
• Computation of probability of events using permutations and combinations

• Trigonometric functions, their periodicity and graphs
• Addition and subtraction formulae
• Formulae involving multiple and sub-multiple angle
• General solution of trigonometric equations
• Relations between sides and angles of a triangle, sine rule, cosine rule, half-angle formula and the area of a triangle, inverse trigonometric functions (principal value only)

• Two dimensions: Cartesian coordinates, distance between two points, section formulae, shift of origin
• Equation of a straight line in various forms, angle between two lines, distance of a point from a line; Lines through the point of intersection of two given lines, equation of the bisector of the angle between two lines, concurrency of lines; Centroid, orthocentre, incentre and circumcentre of a triangle
• Parametric equations of a circle, intersection of a circle with a straight line or a circle, equation of a circle through the points of intersection of two circles and those of a circle and a straight line
• Equation of a circle in various forms, equations of tangent, normal and chord
• Equations of a parabola, ellipse and hyperbola in standard form, their foci, directrices and eccentricity, parametric equations, equations of tangent and normal
• Locus problems
• Three dimensions: Direction cosines and direction ratios, equation of a straight line in space, equation of a plane, distance of a point from a plane

• Real valued functions of a real variable, into, onto and one-to-one functions, sum, difference, product and quotient of two functions, composite functions, absolute value, polynomial, rational, trigonometric, exponential and logarithmic functions
• Limit and continuity of a function, limit and continuity of the sum, difference, product and quotient of two functions, L’Hospital rule of evaluation of limits of functions
• Even and odd functions, inverse of a function, continuity of composite functions, intermediate value property of continuous functions
• Derivative of a function, derivative of the sum, difference, product and quotient of two functions, chain rule, derivatives of polynomial, rational, trigonometric, inverse trigonometric, exponential and logarithmic functions
• Derivatives of implicit functions, derivatives up to order two, geometrical interpretation of the derivative, tangents and normals, increasing and decreasing functions, maximum and minimum values of a function, Rolle’s theorem and Lagrange’s mean value theorem

• Integration as the inverse process of differentiation, indefinite integrals of standard functions, definite integrals and their properties, fundamental theorem of integral calculus
• Integration by parts, integration by the methods of substitution and partial fractions, application of definite integrals to the determination of areas involving simple curves
• Formation of ordinary differential equations, solution of homogeneous differential equations, separation of variables method, linear first order differential equations

• Addition of vectors, scalar multiplication, dot and cross products, scalar triple products and their geometrical interpretations

• Units and dimensions, dimensional analysis; least count, significant figures
• Methods of measurement and error analysis for physical quantities pertaining to the following experiments: Young’s modulus by Searle’s method, Experiments based on using Vernier callipers and screw gauge (micrometre), Determination of g using simple pendulum, Speed of sound using resonance column, Specific heat of a liquid using calorimeter, focal length of a concave mirror and a convex lens using u-v method, Verification of Ohm’s law using voltmeter and ammeter, and specific resistance of the material of a wire using metre bridge and post office box

• Kinematics in one and two dimensions (Cartesian coordinates only), projectiles; Uniform circular motion; Relative velocity
• Newton’s laws of motion; Inertial and uniformly accelerated frames of reference; Static and dynamic friction; Kinetic and potential energy; Work and power; Conservation of linear momentum and mechanical energy
• Systems of particles; Centre of mass and its motion; Impulse; Elastic and inelastic collisions
• Law of gravitation; Gravitational potential and field; Acceleration due to gravity; Motion of planets and satellites in circular orbits; Escape velocity
• Rigid body, moment of inertia, parallel and perpendicular axes theorems, moment of inertia of uniform bodies with simple geometrical shapes; Angular momentum; Torque; Conservation of angular momentum; Dynamics of rigid bodies with fixed axis of rotation; Rolling without slipping of rings, cylinders and spheres; Equilibrium of rigid bodies; Collision of point masses with rigid bodies
• Linear and angular simple harmonic motions
• Hooke’s law, Young’s modulus
• Pressure in a fluid; Pascal’s law; Buoyancy; Surface energy and surface tension, capillary rise; Viscosity (Poiseuille’s equation excluded), Stoke’s law; Terminal velocity, Streamline flow, equation of continuity, Bernoulli’s theorem and its applications
• Wave motion (plane waves only), longitudinal and transverse waves, superposition of waves; Progressive and stationary waves; Vibration of strings and air columns; Resonance; Beats; Speed of sound in gases; Doppler effect (in sound)

• Thermal expansion of solids, liquids and gases
• Calorimetry, latent heat
• Heat conduction in one dimension
• Elementary concepts of convection and radiation
• Newton’s law of cooling; Ideal gas laws
• Specific heats (Cv and Cp for monoatomic and diatomic gases)
• Isothermal and adiabatic processes, bulk modulus of gases
• Equivalence of heat and work
• First law of thermodynamics and its applications (only for ideal gases)
• Blackbody radiation: absorptive and emissive powers
• Kirchhoff’s law
• Wien’s displacement law, Stefan’s law

• Coulomb’s law; Electric field and potential; Electrical potential energy of a system of point charges and of electrical dipoles in a uniform electrostatic field; Electric field lines; Flux of electric field; Gauss’s law and its application in simple cases, such as, to find field due to infinitely long straight wire, uniformly charged infinite plane sheet and uniformly charged thin spherical shell
• Capacitance; Parallel plate capacitor with and without dielectrics; Capacitors in series and parallel; Energy stored in a capacitor
• Electric current; Ohm’s law; Series and parallel arrangements of resistances and cells; Kirchhoff’s laws and simple applications; Heating effect of current
• Biot–Savart’s law and Ampere’s law; Magnetic field near a current-carrying straight wire, along the axis of a circular coil and inside a long straight solenoid; Force on a moving charge and on a current-carrying wire in a uniform magnetic field
• Magnetic moment of a current loop; Effect of a uniform magnetic field on a current loop; Moving coil galvanometer, voltmeter, ammeter and their conversions
• Electromagnetic induction: Faraday’s law, Lenz’s law; Self and mutual inductance; RC, LR and LC circuits with d.c. and a.c. sources

• Rectilinear propagation of light
• Reflection and refraction at plane and spherical surfaces
• Total internal reflection
• Deviation and dispersion of light by a prism
• Thin lenses; Combinations of mirrors and thin lenses
• Magnification
• Wave nature of light: Huygen’s principle, interference limited to Young’s double-slit experiment
• Modern physics

• The section comprises simple drawing depicting an entire object in its right form and proportion, relative location, surface texture, and details of its component parts in appropriate scale
• Common domestic or day-to-day life appliances like furniture, equipment and others from memory

• Exercises in geometrical drawing containing lines, angles, triangles, quadrilaterals, polygons, circles, etc.
• Study of plan (top view), elevation (front or side views) of simple solid objects like prisms, cones, cylinders, cubes, splayed surface holders, etc.

• Understanding and appreciation of three-dimensional forms with building elements, colour, volume and orientation
• Visualisation through structuring objects in memory

• Composition exercise with given elements
• Context mapping
• Creativity check through innovative uncommon test with familiar objects
• Sense of colour grouping or application

• General interest and awareness of famous architectural creations – both national and international, places and personalities (architects, designers, etc.) in the related domain